14.97 is what percent of 38.85 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 38.85 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 38.85, so we can write it down as 100%=38.85.
4. We know, that x% equals 14.97 of the output value, so we can write it down as x%=14.97.
5. Now we have two simple equations:
1) 100%=38.85
2) x%=14.97
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=38.85/14.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.97 is what percent of 38.85

100%/x%=38.85/14.97
(100/x)*x=(38.85/14.97)*x       - we multiply both sides of the equation by x
100=2.5951903807615*x       - we divide both sides of the equation by (2.5951903807615) to get x
100/2.5951903807615=x
38.532818532819=x
x=38.532818532819

now we have:
14.97 is 38.532818532819% of 38.85